The surface area of a solid metallic sphere is 2464 cm². It is melted and recast into solid right circular cones of radius 3.5 cm and height 7 cm. Calculate :

(i) the radius of the sphere.

(ii) the number of cones recast.

In the given figure, the radius of the cone is same as its height equal to 2 cm each. The sum of the volumes of the whole body is :

1. 8π cm³

2. 16 cm³

3. 32π cm³

4. 32 cm³

The given figure shows a solid cylinder of height h cm and radius r cm. If the slant height of the conical cavity is l cm, the total surface area of the remaining solid is :

1. πrl + 2πrh + 2πr²

2. πr² + πrl + 2πrh

3. 2πr² - πrl + 2πrh

4. (πrl + πr²) + 2πr² + 2πrh

In the given figure, a solid cone is kept inverted in a closed cylindrical container such that the height of cone = height of cylinder = h, radius of cone = radius of cylinder = r and slant height of cone = l. If the remaining of cylinder is completely filled with water, the wetted surface area of the whole body is :

1. 2πrh + πr² + πrl

2. 2πrh + πrl

3. 2πrh + 2πr² + πrl

4. 2πrh - πr² + πrl